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Proportional Relationships

Total questions: 42

Worksheet time: 42mins

Name
Class
Date
1.

What is the unit rate/constant of proportionality?

a)

80 miles in 1 hours

b)

20 miles in 1 hours

c)

40 miles in 1 hours

d)

160 miles in 1 hours

2.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
3.

Samantha drives at a rate of 30 mph. Tracy drives at a rate of 60 miles every 2 hours. Who drives faster?

a)

Samantha

b)

Tracy

c)

They drive the same speed per hour

4.

How much money does Miguel save per month?

a)

15 dollars per month

b)

30 dollars per month

c)

He does not save any money.

5.

What best describes the data on this graph?

a)

This graph is linear and not proportional.

b)

This graph is proportional.

c)

This graph is non-linear.

6.

Evan bought 5 pounds of bananas for $10. Christy bought 6 pounds of bananas for $9. Who has the better deal?

a)

Christy

b)

Evan

7.

What is the unit rate if the rate is 30 laps for 10 minutes.

a)

3 laps per minute

b)

10 laps per minute

c)

15 laps per minute

d)

10 laps per two minute

8.
What makes a graph proportional?
a)
Straight Line
b)
The line goes through (0,0)
c)
Curvy line
d)
Straight line and passes through (0,0)
9.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
y=14
10.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
11.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
12.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
13.
Determine which equation does NOT represent a proportional relationship.
a)
y = -2x
b)
y = 1/2 x
c)
y = 3x
d)
y = 5x - 7
14.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
15.
A proportional relationship can be written as an equation in the form
____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
16.
What does k represent in the equation y = kx?
a)
independent variable
b)
constant of proportionality
c)
dependent variable
d)
krispy kreme
17.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
18.
Is this table proportional?
a)
Yes
b)
No
19.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
20.
Write the equation for the table given.
a)
y = 16/2x
b)
y=8x
c)
y=12x
21.
The equation y = 3x represents a proportional relationship. The value of y when x= 7 is __________
a)
21
b)
7
c)
10
d)
4
22.

What ratio is equivalent to 4:5? Select all that apply.

a)

8:10

b)

20:25

c)

5:6

d)

1:5/4

23.

Carley is throwing a party. She needs 3 liters of soda for every 12 guests. If there are 48 guests attending the party, how many liters of soda will she need?

a)

144 liters

b)

36 liters

c)

8 liters

d)

12 liters

24.

How many tbsp of honey is needed for 20 cups of flour?

a)

2

b)

18

c)

25

d)

16

25.
The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above.  Which equation best models this data.
a)
c = .29p
b)
c = 3.5p
c)
p = .29c
d)
p = 3.5c
26.
Jacob mixed 8 cups of flour with 2 cups of water to make pizza dough.  To represent the relationship between the number of cups of flour, f, and the number of cups of water, w, needed to make the same pizza dough, Jake wrote the equation
f = ____ w
What should be placed in the blank?
a)
1/4
b)
8
c)
2
d)
4
27.
Sherry can buy 4 pounds of oranges for $18.  Write the equation to represent the cost, y, for x oranges.
a)
y = 4.5x
b)
y = 72x
c)
y = 2/9 x
d)
y = 4x
28.
The time in minutes it takes a sloth to move a certain distance in feet is shown in the graph above.  How far can a sloth move in 5 minutes?
a)
1 foot
b)
10 feet
c)
20 feet
d)
30 feet
29.
The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of grapes, x?
a)
6.09
b)
20.36
c)
8.12
d)
28.36
30.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
31.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
32.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
33.
A store sees 120 customers in 8 hours. What is the constant of proportionality?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
34.
Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours?
a)
9 miles
b)
4 miles
c)
6 miles
d)
36 miles
35.
6. AMUSEMENT PARKS The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?
a)
32 People
b)
32 Min.
c)
12.5 Min.
d)
12.5 People
36.

Johnny read 280 pages in 4 hours.

How many pages per hour did Johnny read?

a)

276

b)

14

c)

70

d)

60

37.

Samantha earned $90 for working six hours at a blueberry farm. What was Samantha's rate in dollars per hour?

a)

$15 per hour

b)

$20 per hour

c)

$12 per hour

d)

$30 per hour

38.

At a baseball stadium, sixteen hot dogs are sold each minute. At this rate how many hot dogs are sold in 30 minutes?

a)

260

b)

500

c)

80

d)

480

39.

At a bake sale, you can buy 3 cookies for $2.00. What would be the cost of 15 cookies?

a)

$10

b)

$12

c)

$5

d)

$6

40.

In the 7th grade, there are 3 boys for every 5 girls. If there are 70 girls in the 7th grade, how many boys are there?

a)

42 boys

b)

30 boys

c)

80 boys

d)

28 boys

41.
Find the Unit Rate.
 72 ounces for 12 servings    
a)
7 ounces per serving
b)
144 ounces for 24 servings
c)
6 ounces per serving
d)
36 ounces for 6 servings
42.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90

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